Which one of the following is an example of a c5mv1fn nrqn r vq;5jc282ib)vector quantity?

  Which of the following operations willlkrcjs1 c6f*upqfp1am n.l b75k02 a( not change a vector?

  Which of the following is an accurateih(t0w.n;ni5 ,sca9 td y4vat statement?

  The resultant of two vector9bp3(sk) 7kg7+ .ysk03nkxiv g5zz flmp ul,zs is the smallest when the angle between them is

  Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. 1zefr(sufjiyt43, gz1ckm*83p epx9 When these two vectors ary 9tu3rfk13c4(zjfeep1g s8 ,mzp x*ie added, the magnitude of the sum

  Two vectors, of magnitudes 20 and 50, are added. Which one of theei+a vf t,p4p 95 z2any8y5vgl following is a possible answer for theay, 4vtflpg+ pz 95ianve 285y magnitude of the resultant?

  Three forces, each having a magnitude of 3e0t-b f4*ud4alcu,z tdj, )w x0 N, pull on an object in directions that ar4,ajld ct 0xe*t)b-dz4uuf ,we $120^{\circ}$ apart from each other. Make a statement concerning the resultant force.

  In the diagram shown, the unknown vector ifq8 u.g(d x6yx m92pjds

  Ignoring air resistance, the horizontal coct1aask v-eop+/(h eb9rg12jmponent of a projectile's velocity

  A ball is thrown with alf+nm 6yf *.k4b(+mcili ceix nuj3-2 velocity of 20 m/s at an angle of 60e above the horizontal. What is the horizontal component of its instantaneous velocity afx l4eic.lcijm6bk-+nnu2i3m +y (f*t the exact top of its trajectory?

  Ignoring air resistance, the horizontal component of a projectile's acceles/w d;xa2 2rkkrationw/ax2krdk s; 2

  A soccer ball is kicked with a velocity of 25 m/s at an angle ox0ixilyr8d1: 24 cl 9nffim6lf $45^{\circ}$ above the horizontal. What is the vertical component of its acceleration as it travels along its trajectory?

  If the acceleration vector of an object is directed anti-parallel ee xzh2d)4nl9yyz ;:mto the velocity vec; zn:x)hm9ydyelz2e4tor,

  If the acceleration of an object is always directed perpendicular to+ wjw4 b+iom4y its velocity,4 wow4+mib jy+

  At what angle should a water-gun be aimed in order for the waterc4bm:y)rnbk oiu :+xrqg532 *e1n rop to land with the greatest horizontal rango+ 52or puk3gxcbrn n*:qmy1ei: 4)rb e?

  An Olympic athlete throws a javelin at four differentinxck8q/*r*a9rl)d r 9tc4 zt angles above the horizontal, each with the sact/*)cx r89ari l kndtrq94z* me speed: $30^{\circ}$, $40^{\circ}$, $60^{\circ}$, and $80^{\circ}$. Which two throws cause the traveling to land the same distance away?

  You are throwing a ball for the second timem5n)9 po8y nxn. If the ball leaves your hand with twice the velocity it had on8m non5 px)ny9 your first throw, its horizontal range R (compared to your first serve) would be

  A ball is thrown at an original speed of 8.0 m/s at an angle o 7n(atq meh9e 7:qiqv-f $35^{\circ}$ above the horizontal. What is the speed of the ball when it returns to the same horizontal level?

  When a football in a field goal attempt reh mac*:-+; qn iz4n)nv0h qx3o0sbjrqaches its maximum height, how does its no)h 4+csiq qabnv; zmnx *3qj0h:-0rspeed compare to its initial speed?

  A stone is thrown horizontally froj/i8 :4y pwtq osue5 1*vwejl0m the top of a tower at the same instant a ball is dropped vertically. Which objw4 *vt jy:ql / ujowesepi5108ect is traveling faster when it hits the level ground below?

  A bullet is fired horizontally, and at the same instant a second bullet is dq;873y j-bkojy kc9uga 1w bu1ropped fr1uqj 93w g 71oyjk ;cbubay8-kom the same height. Ignore air resistance. Compare the times of fall of the two bullets.

  A plane flying horizontally at a speed of 50.0 m/s and at an elev1qktd i69/bch;xf+ fqation of 160 m drops a package. Two seconds later it drops a second package. How far apart will the two packages land on kf1td bq ;fqx/9i6+ chthe ground?

  A package of supplies is dropped fromfu)thj47 8rjj 9vyj,a q hh3v4 a plane, and one second later a second package is dropped. Neglecting air resistance, the distance between the falling packages j7)tjv9 v haj,3qjh y4 h8fru4will

  A pilot drops a bomb from a plane flyi,t 5 5fqz vll ghz8dz;s:amf +c1i,mw.ng horizontally at a constant speed. Neglecting air resistance, when the bomb hits the ground the horizontal locatf ,si,q1mftzzz+gvc mw5l:ha8l d; .5ion of the plane will

  The acceleration of gravity on the Moon is only one-sixth of that onsjzzq/, c1 xo0 cc3nz* Earth. If you hit a baseball on the Moon with the same effort (and at the speed and angle) that you would on Earth, ,3* qzxzzn0 csco 1j/cthe ball would land

  You are traveling at 55 mi/h in the +x ak m5(41ds x2ov6aqbapxis relative to a straight, level road and pass a car traveling at 45 mi/h. 5s2 vam1ak(dxp 4 o6bqThe relative velocity of your car to the other car is

  You are trying to cross a river t4p ezi5uvtdn p0h.40jhat flows due south with a strong current. You start out in your motorboat on the east bank desiring to v 0 05.pj4tpnehdiu4z reach the west bank directly west from your starting point. You should head your motorboat

  Your motorboat can move at 30 km/h in still water. How much ti165a cjrw*/p4 hmnx .(krwjhzme will it take you to m5ja h*cjz 41w(pxnm/ 6.rwrhkove 12 km downstream, in a river flowing at 6.0 km/h?

  Vector A has magnitude 8.0 m at an angle of 30 degreew 9j4riq86c;r6h69 nnbnwe5y voz f r*+w4owrs below the +x axis. The y component of A ne +frncwobv 6yw5484 qz*6r9w6jw h9n ;orri is

  If a ball is thrown with a velocity of 25 m/s hs b* -,x3pzd xjltv+8at an angle of $37^{\circ}$ above the horizontal, what is the vertical component of the velocity?

  If you walk 6.0 km in a straight line lp6xp9)vm9 ww+t7xlpkog5:n nhj; b:3nj,xein a direction north of east and you end up 2.0 km nort3jvp,7e)p+ tl9x xwno6b:ghknnm 5l;wx 9jp :h and several kilometers east. How many degrees north of east have you walked?

  A butterfly moves with a speed of 12.0 m/s. The x:uiw-( ehcjrm0o )7 wq component of its velocity is 8.00 m/s. The angle between the directi:oe7q-r(0w)u hiwc j mon of its motion and the x axis must be

  A 400-m tall tower casts a 600-m long shadow over a level ground. At whr9i+pgd3c134:qmn.b i zm )qkw-bvnk at angle is thck34gi3:9b -+wpk .dv m n)n1zrqiqbme Sun elevated above the horizon?

  Two vectors A and B have components (0, 1) and (-1, 3), resp g7+hbno71/pw /jbi arectively. What are the components of the sum of these7+/rin 1h bbjogaw/p7 two vectors?

  Two vectors A and B have components (0, 1) and (-1, 3), respectively. Whvld* *59 hks7lhjfyc,at isy ,hl9k7v h*jc* l5fsd magnitude of the sum of these two vectors?

  Vector A = (1, 3). Vector B = (3, 0). Vecaybsa0af) 1* 2(ds)z(llfrq qtor C = A + B . What is the magnitude flq daqf ((1z)sabr0*sl)2yaof C ?

  A car travels 20 km West, then 20 km South. What is the magnitude of its displ7qiqshx 8x( a+acx+ aqxi (s8h7qement?

  Three vectors, expressed in Cartesian coordinates, p.l8-kb8rr pbare
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the magnitude of the resultant vector S + T + U ?

  Three vectors, expressed in Cartesia +: gyybgca(1 jksyo8,n coordinates, are
S = (-3.5,+4.5)
T = (0,-6.5)
U = (+5.5,-2.5)
What is the angle of the resultant vector S + T + U measured from the positive x axis?

  If vector A = (-3.0, -4.0) and vector B = (+3.0, -8.0), what is the magnitude orog+ c t5ictyt1l b.zh579u -nf vector C y. ttz+ch9l5rt c7-nu1o5gb i = A - B ?

  A runner runs halfway around a cin8o uzj9p6 *nvrcular path of radius 10 m. What is the displa z* juno6p8vn9cement of the jogger?

  Two forces are acting on an object as shown in Fig. 3-1jkb-kiw 1tf-0 1vanvo+ k0t0 i. What is the magnitude of the resultant forc0kjwn-v0f1i ta+-k ovb ti0 1ke?

  Two forces are acting on an object as shown in Fig4ldtm3 +5rp .pt p/qw)i7pcpf. 3-1. What is the direction of the resu7ppm)dpq435 ctirf / w+ pl.tpltant force?

Vector A is 5.5 cm long and points along the x axis. Vectlt*o z9n9zj +for B is 7.5 cm long and points at +30e to the negative x tz n9f+9zo*ljaxis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B.
(c) Determine the sum of these two vectors in terms of components.
(d) Determine the sum of these two vectors in terms of magnitude and direction.

Vector A is 75.0 cm long and pointtj/z tymf8o1/ )okk05 d.ksk p,dwy5ds at $30^{\circ}$ above the positive x axis. Vector B is 25.0 cm long
and points along the negative x axis. Vector C is 40.0 cm long and points at $45^{\circ}$ below the negative x axis.
(a) Determine the x and y components of Vector A .
(b) Determine the x and y components of Vector B .
(c) Determine the x and y components of Vector C .
(d) Determine the sum of these three vectors in terms of components.
(e) Determine the sum of these three vectors in terms of magnitude and direction.

  A stone is thrown horizontally with an initial speed of 10 m/s from the edg/.x*i.vo cwte.g sw2le of a cliff. A stop watch measures the stone's *. sc oigw2wtxev./ .ltrajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff?

  A girl throws a rock horicbic4;d; ,mvozontally, with a velocity of 10 m/s, from a bridge. It falls 20 m to the water below. How far does the ro, c4imbd;o;c vck travel horizontally before striking the water?

  A ball thrown horizontally from a poinu3 4 sn/iqy+ayt 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. n /sua3+yqy i4 With what speed was it thrown?

  A jumper in the long-jump goes into the jump witk:k r9 .6i e7lftgo5lwh a speed of 12 m/s at an angle ofo9 k7i:l5rtl gf6k.we $20^{\circ}$ above the horizontal. How long is the jumper in the air before returning to the Earth?

  A jumper in the long-jump goes into the jump with a speed of 12 m/s au r:, yvk/i+rh mnpu3e 9b7a*45;s qip m7frsat an angle ofv, bq+eps;a*a:r7muny 5firspk94hi 7r u/m3 $20^{\circ}$ above the horizontal. How far does the jumper jump?

  A projectile is launched with an initial velocity of 60.0 m/s at mbib7z,.c;g 57cya rkan angle of $30.0^{\circ}$ above the horizontal. How far does it travel?

  A projectile is launched with an initial veloci,(rhfwq+g ,+e9p1u sj/ozco p ty of 60.0 m/s at an angle of $30.0^{\circ}$ above the horizontal. What is the maximum height reached by the projectile?

  A rifle bullet is fired atmp ohynqw6g 6k5:o2d8tn : f7n an angle of $30^{\circ}$ below the horizontal with an initial velocity of 800 m/s from the top of a cliff 80 m high. How far from the base of the cliff does it strike the level ground below?

A projectile is shot horil.z nuqo3.2 noed z0yml85t73 yu+ qlizontally at 23.4 m/s from the roof of a building 55.0 m ti 3zdl0zn u..lnq+em785 3lo2tqy oyu all.
(a) Determine the time necessary for the projectile to reach the ground below.
(b) Determine the distance from the base of the building that the projectile lands.
(c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A projectile is fired frje 5- v6 ckovd 8en2sux7p,c-wom ground level with an initial speed of 55.6 m/s at an angl6j -xs w ukopc5n82de-v,cve7 e of $41.2^{\circ}$ above the horizontal.
(a) Determine the time necessary for the projectile to reach its maximum height.
(b) Determine the maximum height reached by the projectile.
(c) Determine the horizontal and vertical components of the velocity vector at the maximum height.
(d) Determine the horizontal and vertical components of the acceleration vector at the maximum height.

  On a calm day (no wind), you can run a 1500-m race at a velocity oueese1es,.ln0xe. ha ..f 7ohf 4.0 m/s. If you ran the same race on a day when you had a constant headwind which slows your speed by 2.0 m/s, the time.hx,e e sl1h .a.noesf eeu07. it would take you to finish would be

  A plane has an air speed of 200 m/s due North, and is in a wind of 50.0 nrddq0,eg m9 6t;szz8m/s to the West. The plane's speed rel9n 6s,0;trd8gmd eq zzative to the ground is

  A plane is flying due Sq s h4kc7/t*fkouth ($270^{\circ}$) at 500 km/h. A wind blows from East to West ($180^{\circ}$) at 45.0 km/h. Find the plane's velocity with respect to the ground.

  An airplane with a speed of 120 g63w;2qq bpw(jui 0 nrkm/h is headed $30.0^{\circ}$ east of north in a wind blowing due west at 30.0 km/h. What is the speed of the plane relative to the ground?

  A fighter plane moving 200 m/s horizontally fires abitlh wgw9832 projectile with speed 50.0 m/s in ab2l 9iwhwgt83 forward direction $30.0^{\circ}$ below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?

  A boat, whose speed inevp vye2+ -;.t)kuevi still water is 8.0 m/s, is directed across a river with a current of 6.0 m/s. What is the speed of the bo-v ky+;2epe i.u)vevt at as it crosses the river?

  The driver of a motorboat that+ p t54e;gx1 vk52qjaz ih8acd can move at 10 m/s in still water wishes to travel directly acroez a;2gqdxca1 v +k8p4 55hjtiss a river 1.6 km wide in which the current flows at 5.0 m/s. How long will it take to cross the river?

  The driver of a motorboat that can move at 10 m/s in still water wo-o n,/c(ov 8pphl;q hishes to travel directly across a narrow strait in which the current flows at 5.0 m/s. At what angle upstream should the driver head the q p,o h-(;o vch8op/lnboat?

  A swimmer heading directly across a river 200 m wide reaches the opposite :phcu3xm u *dybu(3t.bank in 6 min 40 s. She is swept downstream 480 m. How fast can she swim in still wa*3x(3bp uuhc.yutd:m ter?

  A swimmer heading directly 75ctwb4danuh/8vbg fdz+ u; yaq9w)/across a river 200 m wide reaches the opposite bank in 6 min 40 s. She is swept downstream 480)dh;qdva b/ancuy/ wugw 4f9+b5z 7 8t m. What is the speed of the current?

A boat, whose speed in still water is 1.75 m/s, must aim upstreamjx)b vsd1cs2 1 at an angle of sj 1b)1sdvc2 x$26.3^{\circ}$ (with respect to a line perpendicular to the shore) in order to travel directly across the stream.
(a) Determine the speed of the current.
(b) Determine the resultant speed of the boat with respect to the shore.